zoe,lolo, kylie, megan, and amelia group # 4 from the equation y=a(x-h)^2+k y=2(x-5)^2+4
1.)y=2(x-5)(x-5)+4
2.) y=2(x^2-10x+25)+4
3.) y=2x^2-20x+54
To convert an equation from vertex form to standard form, you must follow three simple steps: 1.) Convert (x-h)^2 into the foiling form, (x-h)(x-h) 2.) Foil the (x-h)^2 and ignore the other parts for the time being 3.) Simplify and that's your equation
Make sure your final equation is in standard form, y=ax^2+bx+c
The connection to the other parts is as follows:
Vertex to Standard is the reverse of Standard to Vertex, you need to know how to convert it one way to get the other equation and vice versa
Then to graph, if you graph the standard form of an equation and the vertex form of the same equation converted you get the same graphed result, another way how these two topics are connected
Finally, to write the equation of the parabola it is connected to the vertex form because the graph of the parabola is connected to the vertex form
zoe, lolo, kylie, megan, and amelia
group # 4
from the equation y=a(x-h)^2+k
y=2(x-5)^2+4
1.) y=2(x-5)(x-5)+4
2.) y=2(x^2-10x+25)+4
3.) y=2x^2-20x+54
To convert an equation from vertex form to standard form, you must follow three simple steps:
1.) Convert (x-h)^2 into the foiling form, (x-h)(x-h)
2.) Foil the (x-h)^2 and ignore the other parts for the time being
3.) Simplify and that's your equation
Make sure your final equation is in standard form, y=ax^2+bx+c
The connection to the other parts is as follows: